# Greatest Common Factor of 39 and 52

Greatest common factor (GCF) of 39 and 52 is **13**.

GCF(39,52) = 13

We will now calculate the prime factors of **39 and 52**, than find the greatest common factor *(greatest common divisor (gcd))* of the numbers by matching the biggest common factor of 39 and 52.

## Prime Factorization of 39

Prime factors of 39 are 3, 13. Prime factorization of **39** in exponential form is:

39 = 3^{1} × 13^{1}

## Prime Factorization of 52

Prime factors of 52 are 2, 13. Prime factorization of **52** in exponential form is:

52 = 2^{2} × 13^{1}

### Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1, 3, 13

### Factors of 52

List of positive integer factors of 52 that divides 39 without a remainder.

1, 2, 4, 13, 26

### Greatest Common Factor

We found the factors and prime factorization of 39 and 52. The biggest common factor number is the **GCF** number.

So the **greatest common factor 39 and 52** is **13**.

Also check out the Least Common Multiple of 39 and 52

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